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Finding the Fourth Proportional to 10,410.75, 15,616.14 and 4,254.75

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Solution

The fourth proportional to 10,410.75, 15,616.14 and 4,254.75 is: 6,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.75 : 15,616.14 = 4,254.75 : x
  2. Step 2: Convert to fraction form
    10,410.75/15,616.14 = 4,254.75/x
  3. Step 3: Cross multiply
    10,410.75x = 15,616.14 × 4,254.75
  4. Step 4: Simplify right side
    10,410.75x = 66,442,771.67
  5. Step 5: Solve for x
    x = 66,442,771.67/10,410.75
  6. Step 6: Final answer
    x = 6,382.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.